【摘要】 本文利用锥拉伸与压缩不动点定理,在非线性项为超线性或次线性及非线性项可分解为超线性与次线性的情况下,给出一类二阶边值问题有一阶可导正解的充分必要条件,推广并改进了一些已知的结果。更多还原

【Abstract】 In this paper,by using the tensile and the compression fixed-point theorems in cone,the first order derivative positive solutions to a class of second-order boundary value problems is investigated. A necessary and sufficient condition for the existence of the first order derivative positive solutions is obtained under the condition that nonlinear term is super-linear or sub-linear,or nonlinear term decomposed into super-linear and sub-linear,which improve some known results.更多还原